32563921920 has 176 divisors, whose sum is σ = 105921933120. Its totient is φ = 8536293376.

The previous prime is 32563921903. The next prime is 32563921921. The reversal of 32563921920 is 2912936523.

It is not an unprimeable number, because it can be changed into a prime (32563921921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888274 + ... + 924206.

Almost surely, 2^32563921920 is an apocalyptic number.

32563921920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32563921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52960966560).

32563921920 is an abundant number, since it is smaller than the sum of its proper divisors (73358011200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32563921920 is a wasteful number, since it uses less digits than its factorization.

32563921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36020 (or 36002 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The spelling of 32563921920 in words is "thirty-two billion, five hundred sixty-three million, nine hundred twenty-one thousand, nine hundred twenty".